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    Question

    If a tank can be filled by a tap in 12 hours, but due to

    an outlet, it actually takes 9 hours longer to fill the tank, find the duration in which the outlet alone would empty the tank?
    A 70 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 63 Correct Answer Incorrect Answer
    E 42 Correct Answer Incorrect Answer

    Solution

    Let tap ‘A’ fill the tank and tap ‘B’ empty the tank. Taking LCM of 12 and 21 = 84 Efficiency of A = 7 Efficiency of (A – B) = 4 Efficiency of B = 7 – 4 = 3 Tap B will empty the tank = 84/3 = 28 So, tap B will empty the tank in 28 hours.

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